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Finding the Fourth Proportional to 138,407.26, 191,002 and 74,745.06

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Solution

The fourth proportional to 138,407.26, 191,002 and 74,745.06 is: 103,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407.26 : 191,002 = 74,745.06 : x
  2. Step 2: Convert to fraction form
    138,407.26/191,002 = 74,745.06/x
  3. Step 3: Cross multiply
    138,407.26x = 191,002 × 74,745.06
  4. Step 4: Simplify right side
    138,407.26x = 14,276,455,950.12
  5. Step 5: Solve for x
    x = 14,276,455,950.12/138,407.26
  6. Step 6: Final answer
    x = 103,148.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.